Home
Class 10
MATHS
If p and q are co-prime numbers, then ...

If `p` and `q` are co-prime numbers, then `p^2` and `q^2` are (a) coprime (b) not coprime (c) even (d) odd

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|390 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|154 Videos

Similar Questions

Explore conceptually related problems

If p and q are two prime numbers, then what is their LCM?

If p , q in N satisfy the equation x^sqrt(x)=(sqrt(x))^x, then p a n d q are (a)relatively prime (b) twin prime (c) coprime (d)if (log)_q p is defined, then (log)_p q is not and vice versa

If 2009 = p^a x q^b where p and q are prime numbers, then the value of (p+q) is

If p_1a n dp_2 are two odd prime numbers such that p_1> p_2, then p1 2-p2 2 is an even number (b) an odd number an odd prime number (c) a prime number

If two positive integers a and b are expressible in the form a=p q^2 and b=p^3q ; p ,\ q being prime numbers, then LCM (a ,\ b) is (a) p q (b) p^3q^3 (c) p^3q^2 (d) p^2q^2

If p and q are the roots of the equation x^2-p x+q=0 , then (a) p=1,\ q=-2 (b) p=1,\ q=0 (c) p=-2,\ q=0 (d) p=-2,\ q=1

If p, q and r are integers, is pq+r even? (1) p+r is even. (2) q+r is odd.

If two positive integers a and b are expressible in the form a =pq^2 and b=p^3q , p and q being prime numbers, then HCF (a,b) is a)pq b)p^3q^3 c)p^3q^2 d)p^2q^2

If p ,q be two A.M. ' s and G be one G.M. between two numbers, then G^2= a) (2p-q)(p-2q) (b) (2p-q)(2q-p) c) (2p-q)(p+2q) (d) none of these

The value of p and q(p!=0,q!=0) for which p ,q are the roots of the equation x^2+p x+q=0 are (a) p=1,q=-2 (b) p=-1,q=-2 (c) p=-1,q=2 (d) p=1,q=2

RD SHARMA ENGLISH-REAL NUMBERS-All Questions
  1. If n=2^3xx3^4xx5^4xx7 , then the number of consecutive zeros in n ,...

    Text Solution

    |

  2. The sum of the exponents of the prime factors in the prime factoris...

    Text Solution

    |

  3. The number of decimal places after which the decimal expansion of th...

    Text Solution

    |

  4. If two positive integers a and b are expressible in the form a=p q...

    Text Solution

    |

  5. If two positive integers a and b are expressible in the form a =pq^2 a...

    Text Solution

    |

  6. If two positive integers m and n are expressible in the form m=p q...

    Text Solution

    |

  7. LCM of a and 18 is 36 and HCF of a and 18 is 2, then a= (a) 2 (b) 3 ...

    Text Solution

    |

  8. The HCF of 95 and 152, is (a) 57            (b) 1            (c) 19 ...

    Text Solution

    |

  9. a) 26           (b) 52              (c) 338             (d) 13

    Text Solution

    |

  10. If a=2^3xx3,\ \ b=2xx3xx5,\ \ c=3^nxx5 and LCM (a ,\ b ,\ c)=2^3xx3^2x...

    Text Solution

    |

  11. The decimal expansion of the rational number (14587)/(1250) will ter...

    Text Solution

    |

  12. If p and q are co-prime numbers, then p^2 and q^2 are (a) coprime (b...

    Text Solution

    |

  13. Which of the following rational numbers have terminating decimal (i) (...

    Text Solution

    |

  14. If 3 is the least prime factor of number a and 7 is the least prime fa...

    Text Solution

    |

  15. 3. 27 is (a) an integer (b) a rational number (c) a natural number...

    Text Solution

    |

  16. The smallest number by which sqrt(27) should be multiplied to get a ...

    Text Solution

    |

  17. The smallest rational number by which 1/3 should be multiplied so ...

    Text Solution

    |

  18. If n is any natural number, then 6^n-5^n always ends with ...........

    Text Solution

    |

  19. The LCM and HCF of two rational numbers are equal, then the numbers ...

    Text Solution

    |

  20. If the sum of LCM and HCF of two numbers is 1260 and their LCM is 90...

    Text Solution

    |